Towards coarse graining of discrete Lorentzian quantum gravity
arXiv:1709.10419 · doi:10.1088/1361-6382/aaa0a3
Abstract
A first step towards implementing a notion of coarse graining in an intrinsically Lorentzian, discrete quantum- gravity approach, namely causal set quantum gravity is taken. It makes use of an abstract notion of scale, based on counting the number of discrete elements. To that end, the space of actions for causal set quantum gravity is written in a matrix-model-like language, and a flow equation for the effective action of the model is derived from the path integral.
11 pages
References in corpus (12)
- Exact evolution equation for the effective potential
- Asymptotic safety in higher-derivative gravity
- Asymptotically Safe Lorentzian Gravity
- En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
- Functional Renormalisation Group Approach for Tensorial Group Field Theory: a Rank-3 Model
- Second- and First-Order Phase Transitions in CDT
- Feynman Propagator for a Free Scalar Field on a Causal Set
- Generalized Causal Set d'Alembertians
- Towards phase transitions between discrete and continuum quantum spacetime from the Renormalization Group
- Asymptotic Safety, Emergence and Minimal Length
- Suppression of non-manifold-like sets in the causal set path integral
- Onset of the Asymptotic Regime for Finite Orders
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- Entropy and the Link Action in the Causal Set Path-Sum
- Configuration space for quantum gravity in a locally regularized path integral
- Visions in Quantum Gravity
- Steps towards Lorentzian quantum gravity with causal sets
- Can we use next-generation gravitational wave detectors for terrestrial precision measurements of Shapiro delay?
- On the Lorentz symmetry in conformally reduced Quantum Gravity